1.A person walked 20 meters across a rectangular field along its diagonal. If the field's length measures 16 meters, what is the width of the field?
2.A rectangular plot has one side measuring 4 meters and the diagonal length is 5 meters. What is the total area of this plot?
3.A rectangle has an area of 150 square meters and a perimeter of 50 meters. What are the possible dimensions of its length and width?
4.A rectangular garden has a perimeter of 600 meters. If the width is 100 meters, what is the length of the garden?
5.Two squares have perimeters measuring 48 cm and 20 cm respectively. Determine the perimeter and the diagonal length of a new square whose area is equal to the sum of the areas of these two squares.
6.What is the ratio between the area of a square and the area of the square constructed on its diagonal?
7.What is the ratio of the area of a square to the area of the square constructed on its diagonal?
8.Calculate the perimeter of a square field if its diagonal measures 8√2 meters.
9.Calculate the area of a square plot if its diagonal measures 20 meters.
10.Calculate the area of a square field with each side measuring 15 meters.
11.A right-angled triangle has a base measuring 8 units and a hypotenuse of 10 units. What is the area of this triangle?
12.What is the height of an equilateral triangle with each side measuring 2√3 cm?
13.What is the length of a side of an equilateral triangle whose area measures 4√3 cm²?
14.What is the area of a triangle with side lengths of 1 meter, 2 meters, and 3 meters respectively?
15.What is the area of a triangle that has a base measuring 4 meters and a height of 5 meters?
16.Bilal wants to cover his room floor measuring 8 meters by 4 meters with tiles that each measure 25 cm by 20 cm. How many tiles does he require to cover the entire floor?
17.A rectangular plot has one side of 20 feet left open and needs fencing on the remaining three sides. If the total area of the plot is 680 square feet, what is the total length of fencing required?
18.A rectangular piece of land has a length that exceeds its breadth by 20 metres. If fencing this land costs Rs. 5300 at a rate of Rs. 26.50 per metre, what is the length of the land in metres?
19.If the length of a rectangle is reduced to half and its width is increased threefold, what is the resulting percentage change in the area?
20.A rectangle has a length that exceeds its width by 23 meters. If the perimeter measures 206 meters, what is the area of the rectangle?